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iris [78.8K]
3 years ago
14

The Appalachian Trail is about 2175 miles long.If a hiker averages 12 miles each day, how long will it take her to hike the leng

th of the trail?
Mathematics
2 answers:
Dvinal [7]3 years ago
8 0
It will take 182 days.
ycow [4]3 years ago
3 0
I think it would be 2175 divided by 12 and you should get the answer of about 181 days if my math is right
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4 0
3 years ago
6n+n+14=0 i need the math
Fofino [41]
Let's solve your equation step-by-step.<span><span><span><span>6n</span>+n</span>+14</span>=0</span>

Step 1: Simplify both sides of the equation.<span><span><span><span>6n</span>+n</span>+14</span>=0</span><span>Simplify: (Show steps)</span><span><span><span>7n</span>+14</span>=0</span>

Step 2: Subtract 14 from both sides.<span><span><span><span>7n</span>+14</span>−14</span>=<span>0−14</span></span><span><span>7n</span>=<span>−14</span></span>

Step 3: Divide both sides by 7.<span><span><span>7n</span>7</span>=<span><span>−14</span>7</span></span><span>n=<span>−2</span></span>

Answer:<span>n=<span>−<span>2</span></span></span>
6 0
3 years ago
What is the solution to 2x-8 &lt;12?
rusak2 [61]

Answer:

x < 10

Step-by-step explanation:

2x - 8 < 12 \\ 2x - 8 + 8 < 12 + 8 \\( 2x < 20) \div 2 = x < 10

7 0
3 years ago
Read 2 more answers
Statements Reasons 1. BE || CD 1. Given 2. ∠A ≅ ∠A 2. Reflexive Property 3. ∠ACD ≅ ∠ABE 3. Corresponding angles formed by parall
Leno4ka [110]

Answer:

The correct option is;

C) AA Similarity Postulate

Step-by-step explanation:

The given parameters are;

BE║CD Given

∠A is congruent to ∠A Reflective property

∠ACD is congruent to ∠ABE Corresponding angles formed by parallel lines and a transversal

∠ADC is congruent to ∠AEB Corresponding angles formed by parallel lines and a transversal

ΔABE ~ ΔACD AA Similarity Postulate

When two angles of one triangle are equal to the corresponding two angles of another triangle, given that the third angle of both triangles are also equivalent based on sum of angles of a triangle postulate, the two triangles are said to be similar based on Angle-Angle (AA) Similarity Postulate.

6 0
3 years ago
1. Find a formula for the general term of the sequence, assuming the pattern continues and that the first term corresponds to ,
Keith_Richards [23]

Answer:

  1. an = (-1)^(n-1)·(n+2)!/3^n

  2. the sequence diverges

Step-by-step explanation:

Perhaps you're concerned with the sequence ...

  {2, -24/9, 120/27, -720/81, ...}

1. This is neither arithmetic nor geometric. Ratios of terms are -4/3, -5/3, -6/3.

The alternating signs mean one factor of the general term is (-1)^(n-1). The divisors of 3 in the term ratios indicate 3^-n is another factor. The increasing multipliers suggest that a factorial is involved.

If we rewrite the sequence factoring out (-1)^(n-1)/3^n, we have ...

  {6, 24, 120, 720, ...}

corresponding to 3!, 4!, 5!, 6!. This lets us conclude the remaining factor is (n+1)!.

The general term is ...

  \boxed{a_n=\dfrac{(-1)^{n-1}(n+2)!}{3^n}}

__

2. The magnitude of the factorial quickly outstrips the magnitude of the exponential denominator, so the terms keep getting larger and larger.

The sequence diverges.

__

3. No series are provided.

3 0
3 years ago
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